➰ Curve fitting: Polynomial, Bézier and Spline curves
Table of Contents 1. Convex sets 2. Polynomial curves 2.1. Linear interpolation 2.2. Quadratic interpolation 2.3 Polynomial interpolation 2.4. Convexity 3. Bézier curves 3.1. Construction 3.2. Convexity 3.3. Direction at the endpoints 3.4. Composition 3.5. Smoothness 4. Splines 4.1. Intuition 4.2 Construction 4.3. Convexity 4.4. Composition 4.5. Smoothness 4.6. Expansion in a basis: B-splines 5. Practical Applications: Trajectory interpolation 6. Conclusion 7. References In this article we will explore how one one can construct a curve that approximates a set of given points....